Grade 7 MATH Term 1 Week 2: Angle Pairs | MATATAG - First Term/1st Quarter 1 (Tagalog Tutorial)
Understanding Angle Pairs
Types of Angles
- The video begins with a review of angle types:
- Right angle (90°)
- Acute angle (less than 90°)
- Obtuse angle (more than 90°)
- Straight angle (180°)
- Reflex angle (more than 180° but less than 360°)
Complementary Angles
- Two angles are complementary if their measures add up to 90°.
- Example provided: Angle A (60°) and Angle B (30°) are complementary since 60 + 30 = 90.
- Another example involves angles ABC and CBD, where the sum equals 90°, demonstrating the concept visually.
Supplementary Angles
- Two angles are supplementary if their measures add up to 180°.
- Example given: Angle A (130°) and Angle B (50°), as 130 + 50 = 180.
- The video discusses mnemonic devices for remembering these concepts, such as associating "C" in complementary with the number nine.
Adjacent Angles
- Adjacent angles share a common side and vertex but do not overlap.
- An example is provided with angles ABC and CBD sharing side BC and vertex B without overlapping.
Linear Pair & Vertical Angles
- A linear pair consists of adjacent and supplementary angles. For instance, two angles measuring 100^circ and 80^circ.
- Vertical angles are formed by intersecting lines; they are always equal. Examples include pairs like Angle One & Three, which measure equally due to their opposite positioning.
Summary of Key Concepts
- Recap of all discussed angle pairs:
- Complementary: Sum equals 90^circ
- Supplementary: Sum equals 180^circ
- Adjacent: Share a common vertex/side without overlap.
- Vertical: Opposite angles formed by intersecting lines that are congruent.
- Linear Pair: Combination of adjacent and supplementary properties.
Practical Application Activity
- The video concludes with an activity prompting viewers to identify various angle pairs in a given figure, reinforcing learning through practical application.